Question

Consider the following graph. у 5 5 -4 -3 2 1 1 2. 2 3 4 5 6 (a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) (c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) (d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) (e) Find the coordinates of the point(s) of inflection. (x,y) = -([ The graph of the derivative f' of a function fis shown. y= f'(x) A 0 2 X 4 6 (a) on what intervals is fincreasing? (Enter your answer using interval notation.) On what intervals is f decreasing? (Enter your answer using interval notation.) (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.)

Answer 1

Consider the following graph

(a) Find the interval(s) on which fis increasing. (Enter your answer using interval notation.) = (1,3)U(4,6).

(b) Find the interval(s) on which fis decreasing. (Enter your answer using interval notation.) = (0,1)U(3,4).

(c) Find the open interval(s) on which fis concave upward. (Enter your answer using interval notation.) = (0,2).

(d) Find the interval(s) on which fis concave downward. (Enter your answer using interval notation.) = (2,4)U(4,6).

(e) Find the coordinates of the point(s) of inflection. (x,y)

= (2, 3), (4, 1)

The graph of the derivative f' of a function fis shown.

(a) on what intervals is f increasing? (Enter your answer using interval notation.) = (0,1)U(3,5)

(b) On what intervals is f decreasing? (Enter your answer using interval notation.) = (1,3)U(5,6)

(c) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) = 1,3,5